Final answer:
To find the cost of Melanie's old laptop case (n), we set up the proportion 1.25n / n = $65 / n and solve for n, which involves dividing $65 by 1.25 to find the original price.
Step-by-step explanation:
The question is asking for a proportion that can be used to find the cost n of Melanie's old laptop carrying case given that her new laptop carrying case costs 125% as much as the old one and is priced at $65. To find the proportion, we set up a ratio equal to 125% (or 1.25 as a decimal), with the first ratio being the cost of the new case (n times 1.25) to n, and the second ratio being the known price of the new case ($65) to the unknown price of the old case (n).
The correct proportion is thus:
1.25n / n = $65 / n
To solve for n, we can then set up the equation 1.25n = $65 and divide both sides by 1.25 to isolate n, which gives:
n = $65 / 1.25
We can then calculate n to find the cost of Melanie's old laptop carrying case.